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Finding the Fourth Proportional to 5,312.69, 7,973.13 and 2,849.57

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Solution

The fourth proportional to 5,312.69, 7,973.13 and 2,849.57 is: 4,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.69 : 7,973.13 = 2,849.57 : x
  2. Step 2: Convert to fraction form
    5,312.69/7,973.13 = 2,849.57/x
  3. Step 3: Cross multiply
    5,312.69x = 7,973.13 × 2,849.57
  4. Step 4: Simplify right side
    5,312.69x = 22,719,992.05
  5. Step 5: Solve for x
    x = 22,719,992.05/5,312.69
  6. Step 6: Final answer
    x = 4,276.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.